Step-by-step explanation:
-x²-8x=15
=> -x²-8x-15= 0
<=> x2+8x+15=0
(x+5)(x+3)=0
x= -5 or x = -3
Determine if each equation will have 0, 1, or 2 solutions. Equation A: x(x−3)=0 This equation has ____ solutions because... Equation B: x2=−81 This equation has ____ solutions because... Equation C: (x−1)(x−1)=0 This equation has ____ solutions because...
Answer:
See below
Step-by-step explanation:
Given the expression
x(x-3) = 0
This can be written as x = 0 and x - 3 = 0
x = 0 and x = 0+3
x = 0 and x = 3
Hence the equation has 2 solutions since it is a quadratic equation
B) Given x^2 = -81
Take the square root of both sides
√x² = ±√-81
x =±√-81
Note that √-1 = i
x = ±9i
x = 9i and -9i
Hence this equation has 2 solutions because of its quadratic nature
C) (x−1)(x−1)=0
x - 1 = 0 and x = 1 = 0
x = 1 twice
Hence this equation has 1 solution because of its repitition of root
Find the quotient. 9,414 ÷ 18
Answer:
=523
Step-by-step explanation:
9414/18 = 523
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes
Answer:
B- 5/1 boards/minutesStep-by-step explanation:
Unit rate is the number of circuit boards a minute:
25 boards every 5 minutes >> 25/5 boards every 5/5 minutes >> 5/1 boards/minutesCorrect choice is B
The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.
Answer:
[tex](a)\ -16t^2 + 7t + 63=0[/tex]
[tex](b)\ t = 2.215[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 7t + 63[/tex]
Solving (a): Equation when it hits the ground.
This means that [tex]h(t) = 0[/tex]
So, we have:
[tex]h(t) = -16t^2 + 7t + 63[/tex]
[tex]-16t^2 + 7t + 63=0[/tex]
Solving (b): The value of t in (a)
[tex]-16t^2 + 7t + 63=0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]
[tex]t = \frac{-7 \± 63.88}{-32}[/tex]
Split
[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]
[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]
[tex]t = -1.7775; or\ t = 2.215[/tex]
Time can't be negative; So:
[tex]t = 2.215[/tex]
2 laundry company one time fee
Answer:
Step-by-step explanation:
I am sorry but what is this suppose to be asking
Can Some one help fast easy question
Answer: x = 2
Step-by-step explanation:
4x + 4 = 2x + 8
2x = 4
x = 2
Answer: x = 2.
Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.
4x = 2x+4 subtract 2x on both sides
2x = 4 divide both sides by two
x = 2
I hope this helps, have a nice day.
PLSS HELP ME BO LINKSSS
Answer:
x=5.657 or because rouded 5.7
Step-by-step explanation:
ill give explaniation if want
Answer:
(I don't understand 36 sorry, but I can help you with 35)
C. 5.7 feet
Step-by-step explanation:
35. This question is asking you to use the pythagorean theorem, this is the formula:
a² + b² = c²
--------
So we know the lengths of a and b,
a² = 16
b² = 16
We add those together:
16 + 16 = 32
-------
The next step is to calculate [tex]\sqrt{32}[/tex]
[tex]\sqrt{32}[/tex] ≈ 5.7
------
Have a good day :)
Translate this sentence into an equation. 59 decreased by Vanessa's score is 7. Use the variable v to represent Vanessa's score.
So, Vanessa's score = v. Let's work from there.
We know that 59 is decreased by Vanessa's score, which is subtraction, and thus: 59 - v
Then, we're told that that quantity is 7. "Is" can be used in place of an equals sign: = 7
Therefore, our equation is as follows: 59 - v = 7
Hope this helps!! :)
Which is a prime number 63 , 7, 27, 33
Answer:
7
Step-by-step explanation:
63 can be divided by 3, 7, 9, 21
27 can be divided by 3, 9
33 can be divided by 3, 11
Answer:
The correct answer is 7.
Step-by-step explanation:
A prime number is a number whose factors only include 1 and that number itself, examples of prime numbers would be 2 (1; 2), 5 (1; 5), and 11 (1; 11). In order to find the prime number, you must calculate all factors in each number. 63 has the following factors: 1; 3; 7; 9; 21; 63, so it isn't a prime number. 27 has the following factors: 1; 3; 9; 27, so it isn't a prime number. 33 has the following factors: 1; 3; 11; 33, so it also isn't a prime number. 7 only has two factors, 1 and 7, meaning that it is a prime number. Hence, this would be the correct answer.
what is the slope of the line through the points (0,2) and (3,-6)
Answer:
-8/3
Step-by-step explanation:
You can find the slope when given two points
m = (y2-y1)/(x2-x1)
= ( -6-2)/ (3 -0)
= -8/3
Largest 3 digit number which is divisible by 6
Answer:
996
Step-by-step explanation:
largest 3 digit number is 999
then just reduce slowly to find ans
Answer:
The largest 3-digit number divisible by 6 is 996.
What type of association is shown in the scatterplot?
Answer:
A negtive linear accosian
Step-by-step explanation:
Which of the following shows the coordinates of Q(3,-5) after a translation of
3 units right?
Q'(0,-5)
Q'(6,-5)
Q'(6,-2)
Q'(3,-2)
Answer:
(0,-5)
Step-by-step explanation:
move the x point to the right three times im pretty sure
I'll mark the right answer brainliest :)
Answer:
59045
I hope I helped! :)
The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1
Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope
So, considering the following equations
[tex]y = 2x + 3[/tex]
[tex]y = \frac{3x}{2} + 9[/tex]
[tex]y = 2x - 5[/tex]
[tex]y = -2x + 3[/tex]
The following equations have the same slope
[tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Because: [tex]y = mx + b[/tex] implies that:
[tex]m = 2[/tex] for [tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Please help me solve this math it’s due in 1 hour
how to graph linear standard 3x−4y=24
Graph the linear equation. 3x-4y= 24
---------------------
Let x = 0, then y = -6
Let y = 0, then x = 8
----------------------------
Plot (0,-6) and (8,0) and draw a line thru them to get:
A thin wire inform of an equilateral triangle of side 11 cm find the area of a circle whose circumference is equal to the length of the wire
Answer:
86.70 cm^2
Step-by-step explanation:
circumference = 11 x 3 = 33
circumference of a circle = nD
33 = 3.14 X D
D = 10.51
r = 10.51 / 2 = 5.25
Area = nr^2
3.14 x 5.25^2 = 86.70 cm^2
Marking brainliest!
In your own words, what does human rights mean to you
Answer:
Hello Dear!❤Step-by-step explanation:
I could give a definition and list all of the international treaties. I could describe the obligations that states have to protect and defend human rights. I could get into the details in so many ways. But I won’t. And the reason why is because, in the end, it’s so simple. Human Rights are about recognizing the humanity in each person.
I guess you could get depressed and feel hopeless after four days of films and discussions about serious human rights issues like genocide and honour violence. But for me, at the end of this first Lund Human Rights Film Festival, the solution to many of our problems seems clearer than ever.
Hope that helps you..
Buhbye!
Answer:
human right mean everything to me and I think everyone should have human rights no matter who they are I help ever were and everyone to help them I hope you know what I mean
The mean of 5 numbers is 11.The numbers are in the ratio 1:2:3:4:5 ?
Please help me!!!!
consider the numbers are x,2x,3x,4x,5x
Given;
(x+2x+3x+4x+5x)/5 = 11
15x = 55
x= 55/15 = 11/3
The numbers are
11/3, 22/3, 11, 44/3, 55/3
288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8
How to solve it?
[tex]\int\limits^a_b {x^2+2x} \, dx[/tex]
Hi there! Assume that this is your question.
[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx}[/tex]
Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!
We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.
For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²
[tex] \large{f(x) = \frac{1}{3} {x}^{3} \longrightarrow f'(x) = {x}^{2} } \\ \large{f'(x) = 3( \frac{1}{3} ) {x}^{3 - 1} } \\ \large{f'(x) = {x}^{2} }[/tex]
So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²
[tex] \large{ f(x) = {x}^{2} \longrightarrow f'(x) = 2x} \\ \large{f'(x) = 2 {x}^{2 - 1} } \\ \large{f'(x) = 2x}[/tex]
Thus,
[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx} \\ \large{\int \limits^a_b ( \frac{1}{3} {x}^{3} + {x}^{2}) }[/tex]
Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.
[tex] \large{ \int \limits^b_a f(x)dx = F(b) - F(a)}[/tex]
Define F(x) as our anti-diff
From our problem, substitute x = a in then subtract with the one that substitute x = b
[tex] \large{ (\frac{1}{3}{a}^{3} + {a}^{2} ) - ( \frac{1}{3} {b}^{3} + {b}^{2}) }[/tex]
Simplify as we get:
[tex] \large \boxed{ \frac{1}{3}{a}^{3} + {a}^{2} - \frac{1}{3} {b}^{3} - {b}^{2}}[/tex]
I need help with this question
-3 -12 -5 in that order
Answer:
-3
-12
-33
Step-by-step explanation:
sorry if i m wrong.
Find the product. Write your solution in standard form.
(b-6)(b-6)
Answer:
b² - 12b + 36
Step-by-step explanation:
use the FOIL method:
b² - 6b - 6b + 36
combine the 'like' terms in the middle:
b² - 12b + 36
Start by writing and solving an
equation (or system of
equations) that represents the
problem below. Be sure to define
any variables you use.
Turkey has a population of 66
million people and is made up
almost entirely of two ethnic
groups: Turks and Kurds. There
are four times more Turks than
Kurds. Write an equation and
solve it to find out how many
Kurds live in Turkey,
k: the number of Kurds
t: the number of Turks
k=k
t=4k
k+t=66,000,000
k+4k=66,000,000
5k=66,000,000
k=13,200,000
t=52,800,000
Step-by-step explanation:
plz brain list.
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
Answer:
0 ≤ x ≤ 30
Step-by-step explanation:
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
f(x) = 250(1.25)ˣ
Which of the following is a reasonable domain for the function?
0 ≤ x ≤ 250
0 ≤ x ≤ 30
All positive integers greater than 100
All real numbers
Solution:
Given that f(x) = 250(1.25)ˣ, where x is the number of days and f(x) is the population of the birds after x days. This means that at the beginning of the month of September (i.e. at x = 0), the population of the birds was 250. And as each day goes by, the population of the bird increases by a factor of 1.25.
The domain of a function is the set of all possible independent variables. In this case the number of days (x) is the independent variable. Since in the month of September there are 30 days, therefore the domain is:
0 ≤ x ≤ 30
A 10-foot ladder is leaning against a wall. If the ladder reaches 8 feet up the wall, how fare is thr base of the ladder from the wall?
Answer:
6ft
Step-by-step explanation:
The answer is 6 feet
Have a good day:)
how do i find the surface area of the sphere??
Answer:
98 π R
Step-by-step explanation:
Surface area of sphere = 4 π R²
= 2 π R × 2 R
= 49 π × 2 R
= 98 π R
[tex] \sqrt[3]{( - 64)} [/tex]
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Step 1: Apply the rule
[tex]\left(-64\right)=-64\\\\=\sqrt[3]{-64}[/tex]
Step 2: Apply the radical rule
[tex]\sqrt[3]{-64}=-\sqrt[3]{64}\\\\=-\sqrt[3]{64}[/tex]
Step 3: Factor the number
[tex]\:64=4^3\\\\=-\sqrt[3]{4^3}[/tex]
Step 4: Apply the radical rule
[tex]\sqrt[3]{4^3}=4\\\\=-4[/tex]
Therefore, [tex]\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4[/tex]
Answer:
-4
Step-by-step explanation: